Hi Jean-Paul,

Another question which might be the reason why I am getting the 
inconsistencies in my newton-raphson convergence. I just realised this..

What I am doing is the following - 

I am giving small compressive displacements to the film+substrate. I am 
also calculating the eigenvalues of the tangent_stiffness matrix (after the 
convergence of newton method), to understand the stability of the system. 
The moment I encounter a negative smallest eigenvalue, I want to go to a 
previous time step and would like to solve for a small compressive 
displacement. For instance, if the compression is 0.1 at this time step and 
the eigenvalue is negative, I go to the previous time step and give a 
compressive displacement of 0.05.

Here is my concern, I have added a condition that, if I find a negative 
eigenvalue during any time step, I update the *solution_n = solution_n - 
solution_delta*; and then run the time step again (with a smaller 
compressive displacement) after doing *solution_delta = 0.0*. Since the 
next state is also dependent on the updated quadrature point data (stresses 
etc.), I would also need to update the quadrature point data to the 
previous step. Could you please let me know, how am I supposed to do that? 

In the documentation in code gallery 
<https://dealii.org/developer/doxygen/deal.II/code_gallery_Quasi_static_Finite_strain_Compressible_Elasticity.html>,
 
it is written that - 

"*The first function is used to create a material object and to initialize 
all tensors correctly: The second one updates the stored values and 
stresses based on the current deformation measure **Grad**u**n*"  (inside 
the Point History class). However, I only find one function which is 
setup_lqp, and not the update_lqp or something similar. 

Thanks!

Animesh

On Tuesday, November 10, 2020 at 5:24:13 PM UTC+5:30 Animesh Rastogi IIT 
Gandhinagar wrote:

> Hi Jean-Paul, 
>
> There seem to be some inconsistencies in the simulations results that I am 
> getting, therefore I wanted to check if I have applied the material laws 
> properly accounting for the heterogeneities. Below, I have addted the 
> edited functions that are responsible for that. Could you please let me 
> know if there is something wrong here? I have checked the material 
> properties (mu1, mu2 etc), and they are being read correctly by the code 
> from the parameters file. I have also checked that the material ids (1 and 
> 2) are correctly applied to the cells where I need them. 
>
> --------------------------------------
> void setup_lqp (const Parameters::AllParameters &parameters, const 
> unsigned int &materialid)
>     {
>
>     //Material 1 - Thin Film
>     if (materialid == 1)
>     {
>      
> std::cout<<"1_id"<<std::endl<<parameters.mu1<<std::endl<<parameters.nu1<<std::endl;
>       material.reset(new 
> Material_Compressible_Neo_Hook_One_Field<dim,NumberType>(parameters.mu1,
>                      parameters.nu1));
>     }
>     //Material 2 - Substrate
>     if (materialid ==2)
>     {
>       material.reset(new 
> Material_Compressible_Neo_Hook_One_Field<dim,NumberType>(parameters.mu2,
>                            parameters.nu2));
>     }
>
>     }
>
> -------------------------------------------
>
> template <int dim,typename NumberType>
>   void Solid<dim,NumberType>::setup_qph()
>   {
>     std::cout << "    Setting up quadrature point data..." << std::endl;
>
>     quadrature_point_history.initialize(triangulation.begin_active(),
>                                         triangulation.end(),
>                                         n_q_points);
>
>     for (typename Triangulation<dim>::active_cell_iterator cell =
>            triangulation.begin_active(); cell != triangulation.end(); 
> ++cell)
>       {
>         const std::vector<std::shared_ptr<PointHistory<dim,NumberType> > > 
> lqph =
>           quadrature_point_history.get_data(cell);
>         Assert(lqph.size() == n_q_points, ExcInternalError());
>
>         for (unsigned int q_point = 0; q_point < n_q_points; ++q_point)
>           lqph[q_point]->setup_lqp(parameters, cell->material_id());
>       }
>   }
>
> --------------------------------------
>
> Thanks!
>
> Animesh
> On Tuesday, November 3, 2020 at 12:09:03 PM UTC+5:30 Animesh Rastogi IIT 
> Gandhinagar wrote:
>
>> Hi Jean, 
>>
>> Sorry for late response. Thank you for your detailed answer. Using your 
>> suggestions I was able to assign the material ids to different area of my 
>> domain of interest. 
>>
>> Thanks again!
>>
>> Animesh
>>
>> On Tuesday, October 27, 2020 at 3:05:39 AM UTC+5:30 Jean-Paul Pelteret 
>> wrote:
>>
>>> Dear Animesh,
>>>
>>> Let me preface my suggestion by saying that you can introduce some 
>>> heterogeneity in more than one way. That is, you're not bound to using a 
>>> material ID (which is what I'm going to suggest), but you could use some 
>>> geometric arguments to determine which class or material properties should 
>>> dictate the constitutive response at a continuum point. You also need not 
>>> use the class-based structure that this code galley example has. There are 
>>> other tutorials (e.g. step-8) that use Functions that return the material 
>>> coefficients at any point in space. So you should keep that in mind as you 
>>> read my suggestion.
>>>
>>> In my opinion, the simplest approach would be the following:
>>>
>>> 1. The PointHistory::setup_lqp() function 
>>> <https://github.com/dealii/code-gallery/blob/master/Quasi_static_Finite_strain_Compressible_Elasticity/cook_membrane.cc#L720-L724>
>>>  
>>> is the point at which the constitutive law at some quadrature point is set. 
>>> So you should extend this function in some way to make a decision about 
>>> which material it is in, and what the material law at that point is. The 
>>> first thing that you might do is add an argument for the material ID, and 
>>> then choose constiutitve parameters based on the material ID. You'll note 
>>> that the concrete constitutive law is stored in a pointer. This makes it 
>>> easy to extend to support other constitutive laws, because you can for 
>>> example abstract the Material_Compressible_Neo_Hook_One_Field class into 
>>> some base class and other classes (maybe a 
>>> Material_Compressible_Mooney_Rivlin_One_Field) and then, based on the 
>>> material ID, select which constitutive law is applied at that quadrature 
>>> point. 
>>> 2. The PointHistory::setup_lqp() function is called from 
>>> Solid::setup_qph() 
>>> <https://github.com/dealii/code-gallery/blob/master/Quasi_static_Finite_strain_Compressible_Elasticity/cook_membrane.cc#L1203-L1211>
>>>  
>>> , and more specifically inside a loop over all cells. Its possible to 
>>> retrieve the cell->material_id() or cell->center() (or, if you create a 
>>> quadrature rule to help you then you can get the actual position of the 
>>> quadrature point if you want such granularity). You can then pass this 
>>> information in to PointHistory::setup_lqp() to help decide which 
>>> constitutive law / parameters to apply. If using the material ID then you 
>>> will, of course, want to set the material ID when building or reading in 
>>> your triangulation.
>>>
>>> That is, at least, how I typically do things when using this code as a 
>>> basis for extension. I hope that this helps you introduce heterogeneities 
>>> into your problem!
>>>
>>> Best,
>>> Jean-Paul
>>>
>>>
>>> On 26.10.20 08:15, Animesh Rastogi IIT Gandhinagar wrote:
>>>
>>> Hello All,
>>>
>>> I am trying to solve the wrinkling problem of a thin stiff film attached 
>>> to a soft substrate in dealii. I am using the code - from the code gallery 
>>> for this purpose. For the simulations, I would have to consider the film 
>>> and the substrate with different material properties.
>>>
>>> I understand that I would have to do something within the class 
>>> Qudrature point history. However, I am getting a little confused on how to 
>>> approach it. It would be great if someone could help me with this. 
>>>
>>> This is the code that I am using for this purpose - 
>>> https://dealii.org/developer/doxygen/deal.II/code_gallery_Quasi_static_Finite_strain_Compressible_Elasticity.html
>>>
>>> Thanks!
>>>
>>> Animesh
>>>
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>>>
>>>

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